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10202202210972 = 2233836413463027
BaseRepresentation
bin1001010001110110001010…
…1000111000001010011100
31100010022200000100211212010
42110131202220320022130
52314123102231222342
633410454344111220
72102041036646412
oct224354250701234
940108600324763
1010202202210972
1132838031a4992
121189308a65510
135900a97a14c5
14273b098a52b2
1512a5b18be29c
hex94762a3829c

10202202210972 has 48 divisors (see below), whose sum is σ = 23904534269952. Its totient is φ = 3386562385920.

The previous prime is 10202202210961. The next prime is 10202202210973. The reversal of 10202202210972 is 27901220220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202202210973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214523 + ... + 4677549.

It is an arithmetic number, because the mean of its divisors is an integer number (498011130624).

Almost surely, 210202202210972 is an apocalyptic number.

10202202210972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202202210972 is an abundant number, since it is smaller than the sum of its proper divisors (13702332058980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10202202210972 is a wasteful number, since it uses less digits than its factorization.

10202202210972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464058 (or 3464056 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10202202210972 in words is "ten trillion, two hundred two billion, two hundred two million, two hundred ten thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 383 641 766 1149 1282 1532 1923 2298 2564 3846 4596 7692 245503 491006 736509 982012 1473018 2946036 3463027 6926054 10389081 13852108 20778162 41556324 1326339341 2219800307 2652678682 3979018023 4439600614 5305357364 6659400921 7958036046 8879201228 13318801842 15916072092 26637603684 850183517581 1700367035162 2550550552743 3400734070324 5101101105486 10202202210972